I have neer heard of numbers that wipe off when hot, a cooker is made for heat.
The door (glass) is replaceable, look at the make and see if the manufacturers have a website.
But, it was an accident, I dn't think anyone can be angry over that.
Being an accident, maybe they ae insured (they should be), so maybe your accident might do them a favour and get them a new cooker (by te time yu take the insurance price to replace the damaged door, it will probably be close to a new cooker price) and of course the pan would be covered too.
At the worst, it may be a dinner time joke in years to come.
I'm sure they will understand.